Let \(X\)  be a weighted projective variety in \(\mathbb {P}^n(Q)\)  with \(Q= (q_0,\dots ,q_n)\) . \(X\)  is said to be quasi-smooth (cf. [1]}) if its affine quasi-cone is smooth outside the origin. For instance, weighted Fermat varieties are quasi-smooth. As a special case of weighted quasi-smooth varieties, we observe the following property for quasi-smooth weighted Delsarte varieties.
